Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800ca |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-601425000000 = -1 · 26 · 37 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- -4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1792,-23838] |
[a1,a2,a3,a4,a6] |
Generators |
[1895:10142:125] |
Generators of the group modulo torsion |
j |
25442240/24057 |
j-invariant |
L |
3.5614009796893 |
L(r)(E,1)/r! |
Ω |
0.50069934678235 |
Real period |
R |
7.1128532572656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800ds1 26400z1 52800dc1 |
Quadratic twists by: -4 8 5 |